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Finding the Fourth Proportional to 258,978,076.40, 388,467,114.60 and 177,348,738.80

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Solution

The fourth proportional to 258,978,076.40, 388,467,114.60 and 177,348,738.80 is: 266,023,108.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,978,076.40 : 388,467,114.60 = 177,348,738.80 : x
  2. Step 2: Convert to fraction form
    258,978,076.40/388,467,114.60 = 177,348,738.80/x
  3. Step 3: Cross multiply
    258,978,076.40x = 388,467,114.60 × 177,348,738.80
  4. Step 4: Simplify right side
    258,978,076.40x = 68,894,152,839,585,072
  5. Step 5: Solve for x
    x = 68,894,152,839,585,072/258,978,076.40
  6. Step 6: Final answer
    x = 266,023,108.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.